References
V. A. Trenogin, Abstract Dynamical Systems and Lyapunov’s Indirect Method, Abstracts of Papers of International Conference Dedicated to the 100th Anniversary of Academician S.M. Nikol’skii’s Birthday (Ross. Akad. Nauk, Moscow, 2005).
V. A. Trenogin, Dokl. Math. 73, 292–295 (2006) [Dokl. Akad. Nauk 407, 742–746 (2006)].
V. F. Trenogin, First Lyapunov Method for the Abstract Parabolic Equation (World Sci., Singapore, 2006), pp. 116–123.
V. A. Trenogin, Romai J. 3(1), 207–212 (2007).
V. A. Trenogin, “Linear Lyapunov Stability for Differential Equations in Banach Spaces,” Abstracts of Papers of International Scientific Conference on University Science (RUDN, Moscow, 2009).
M. M. Vainberg and V. A. Trenogin, Theory of Branching of Solutions of Nonlinear Equations (Nauka, Moscow, 1969; Noordhoff, Leyden, 1974).
V. A. Trenogin, Functional Analysis (Nauka, Moscow, 1993) [in Russian].
V. A. Trenogin, Romai J. (2009) (in press).
Author information
Authors and Affiliations
Additional information
Original Russian Text © V.A. Trenogin, 2009, published in Doklady Akademii Nauk, 2009, Vol. 428, No. 4, pp. 458–461.
Rights and permissions
About this article
Cite this article
Trenogin, V.A. Linear approximations for differential equations in Banach spaces and Lyapunov stability. Dokl. Math. 80, 724–727 (2009). https://doi.org/10.1134/S106456240905024X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S106456240905024X